grisha is analyzing a population of zigga-zoos that follows the following gompertz differentialequation:dP =dt4P(17 - In P)This has an initial condition that P(0)=100.What is the value of the population when t =2? Your answer should be written symbolically.Write your answer clearly so i can understand please, i will give you a like!

The given differential equation, dPdt=4P17-ln P The initial condition is P0=100 We have to find the…

Answered: grisha is analyzing a population of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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If N is the number of bacteria in a petri dish, and bacteria population is decreasing exponentially, the differential equation governing the population is: dN = = kN dt For this bacteria population, which one of the following statements is true? Ok must be negative The sign of k depends on whether the size of the population is increasing or decreasing. k must be positive
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Consider the following differential equation. 4y" + 2y'- 2y 0 Exercise (a) For what values of r does the function y = ex satisfy the equation? Click here to begin! Exercise (b) If ri and r, are the values of r that you found in part (a), show that every member of the family of functions y = ae'1x + be'2x is also a solution. Step 1 We must decide whether 4f "(x) + 2f'(x) - 2f(x) = 0 for f(x) = aex/2 + be-X. We have f'(x) = and f"(x) = Submit Skip (you cannot come back)
You can use methods such as variation of parameters, application of exponential shift theorem, and evaluation of some inverse differential operators.
Please use differential equations to solve
If the characteristic equation (the auxiliary equation) of a higher order linear differential equation is: P(r) = 4r (r – 1)² (,2 + 4), %3D - what is the fundamental set of the solutions of the equation? (general solution) Do not need to show your work, just give the answer below:
Please follow the alphabetical order of the question
a continuing increase of the population on Earth eventually encourages settlement of the moon and mars. After colonization of the moon and mars, births rates continue to exceed death rates on earth, but life is hard away from earth so that the opposite is true elsewhere in the solar system. Nonetheles, the rising earth population constantly relocates the moon and Mars depending on the relative differences in population sizes. You have modelled the population dynamics via the following differential equations, where X1(t) is the Earth population at time t, X2(t) is the moon population, a and X3(t) is the population on mars. x`1 = -3/2 (x1-x2) - (x1-x3) + 3/2 x1 x`2 = -1/2 (x2 -x1) - 1/2(x2 -x3) - x2 x`3 = -1/2 (x3 -x1) - 1/2 (x3 -x2) - 1/2x1 a) if at time t=0 there are five bilion people on earth , and no one on moon and mars, Whats the population distribution far in the future? b) suppose instead that at a time t=0, 5/3 bilion people were on the moon, leaving 10/3 bilion on earth,…
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You can use methods such as variation of parameters, application of exponential shift theorem, and evaluation of some inverse differential operators.

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